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Finding the Fourth Proportional to 8,417.97, 12,616.02 and 8,286.75

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Solution

The fourth proportional to 8,417.97, 12,616.02 and 8,286.75 is: 12,419.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.97 : 12,616.02 = 8,286.75 : x
  2. Step 2: Convert to fraction form
    8,417.97/12,616.02 = 8,286.75/x
  3. Step 3: Cross multiply
    8,417.97x = 12,616.02 × 8,286.75
  4. Step 4: Simplify right side
    8,417.97x = 104,545,803.74
  5. Step 5: Solve for x
    x = 104,545,803.74/8,417.97
  6. Step 6: Final answer
    x = 12,419.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.